For each of the six diagrams replace the forces with an equivalent force-couple system at A. Note which, if any, systems are equivalent 5 in. 3 lb 2 lb 3 in. 2 lb 4 lb 6 lb- in. (а) (b) (c)
For each of the six diagrams replace the forces with an equivalent force-couple system at A. Note which, if any, systems are equivalent 5 in. 3 lb 2 lb 3 in. 2 lb 4 lb 6 lb- in. (а) (b) (c)
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image Text:**Educational Content: Force-Couple Systems**
The image depicts six diagrams illustrating force systems acting on rectangular boxes. Each diagram has forces applied at different points, which should be replaced with an equivalent force-couple system at point A. The task is also to identify if any of these force systems are equivalent.
### Diagrams:
#### Diagram (a)
- **Forces:**
- A 6 lb force acts upward along the z-axis.
- A 2 lb force acts downward parallel to the y-axis.
- **Dimensions:**
- The z-axis force is 5 inches from point A, and the y-axis force is 3 inches from A.
#### Diagram (b)
- **Forces:**
- A 6 lb force acts upward aligned with the z-axis.
- A 3 lb force acts leftward along the y-axis.
- A 4 lb force acts downward parallel to the x-axis.
#### Diagram (c)
- **Forces:**
- A 6 lb force acts upward along the z-axis.
- A 2 lb force acts downward and diagonally pointing towards the positive x and negative y directions.
- **Dimensions:**
- The diagonal force is 6 inches from the z-axis.
#### Diagram (d)
- **Forces:**
- A 3 lb force acts upward parallel to the z-axis.
- A 3 lb force acts leftward parallel to the y-axis.
- A 3 lb force acts forward along the x-axis.
- **Dimensions:**
- A 13 lb force is directed away from the box diagonally from point A.
#### Diagram (e)
- **Forces:**
- A 2 lb force acts upward along the positive z-axis.
- A 1 lb force acts inward towards the front of the box on the x-axis.
- A 3 lb force acting downward parallel to the z-axis.
#### Diagram (f)
- **Forces:**
- A 9 lb force acts upward along the z-axis.
- A 25 lb diagonal force acts downward and extends both along the positive y and negative x directions.
- **Dimensions:**
- The diagonal force is positioned 5 inches from the front face of the box.
- The vertical force is 4 inches away from A.
- The diagonal force is 16 inches away from A.
### Objective:
For each
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